value problem
Reducing Initial Value Problem and Boundary Value Problem to Volterra and Fredholm Integral Equation and Solution of Initial Value Problem Habeeb Khudhur Kadhim
... For the determination of the particular solution š¢(š„) of the Volterra integro-differential equation. Any Volterra integro-differential equation is characterized by the existence of one or more of the derivatives ...
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Nontrivial solutions for a fractional boundary value problem
... In [ļ¾], El-Shahed and Nieto investigated the existence of nontrivial solutions for a multi- point boundary value problem for fractional diļ¬erential equations. Under certain growth conditions on the ...
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Solutions for a fractional difference boundary value problem
... In [ļ¼], the authors used the mountain pass theorem, a linking theorem, and Clarkās the- orem to establish the existence of multiple solutions for a fractional diļ¬erence boundary value problem with a ...
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Unbounded solution for a fractional boundary value problem
... This paper concerns the existence of unbounded positive solutions of a fractional boundary value problem on the half line. By means of the properties of the Green function and the compression and expansion ...
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Boundary value problem for one evolution equation
... Cauchy problem is incorrect in the sense of ...boundary value problem in the sense of Hadamard, is selected by adding some additional conditions to the coef- ficients of the ...
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Nonlinear fourth order boundary value problem
... boundary value problem generated by a fourth order diļ¬erential equation on the semi-inļ¬nite interval in which the lim-4 case holds for fourth order diļ¬erential expression at ...
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Boundary Value Problem of Fractional Differential Equation
... Abstract: In this paper, we prove the existence of the solution for the boundary value problem of fractional differential equations of order ā , ].The Krasnoselskiiās fixed point theore[r] ...
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A singular boundary value problem for neutral equations
... The aim of the present paper is to obtain conditions for the existence and uniqueness of an absolutely continuous solution of a singular boundary value problem for neutral equations, usi[r] ...
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Riemann boundary value problem for hyperanalytic functions
... the problem, such as generalized HĀØolder coeļ¬cients or special subspaces of this space and the desired boundary behavior condition for the ...boundary value problem was studied for generalized ...
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General Periodic Boundary Value Problem for Systems
... There has been progress in the study of the existence of positive solutions of system problem. If ļ” ļ¢ ļ½ ļ½ ļ½ I identity, then (1,1) reduces to the usual periodic bound- ary value problem for which the ...
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Solutions to a Three Point Boundary Value Problem
... boundary value problem u t atft, ut, u t 0, 0 < t < 1; u0 u 0 0; u 1 ā Ī±u Ī· Ī», where Ī· ā 0, 1/2, Ī± ā 1/2Ī·, 1/Ī· are constants, Ī» ā 0, ā is a parameter, and a, f are given ...
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On the solvability of a boundary value problem on the real line
... obtaining results on both existence and non-existence of heteroclinic solutions. Such criteria are based on the comparison between the behavior of the right-hand side f(t, x, x ā ) as |t| Ā® + ā and x ā Ā® 0, combined to ...
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Hilbert Boundary Value Problem with an Unknown Function on Arbitrary Infinite Straight Line
... boundary value problem with an unknown parametric function on arbitrary infinite straight line passing through the ...boundary value problem to Riemann boundary value problem, ...
5
Two-Dimension Riemann Initial-Boundary Value Problem of Scalar Conservation Laws with Curved Boundary
... initial-boundary value problem with curved ...initial value problem, weak entropy solutions of Riemann initial-boundary value problem are constructed, the behaviors of solutions ...
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Positive Solutions for a Boundary Value Problem with a Derivative Argument
... Among the substantial number of works dealing with nonlinear differential equations we mention the boundary value problem (1.1) and (1.2). We emphasize that the nonlinear term f is involved with the ...
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On the fundamental solutions of a discontinuous fractional boundary value problem
... Sturm-Liouville problem with transmission ...boundary value problem involving an operator with two ...main problem coincide with the eigenvalues and corresponding eigenfunctions of the ...
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Existence of solutions for a mixed fractional boundary value problem
... boundary value problem involving both left Riemann-Liouville and right Caputo-type fractional ...posed problem to a sum of two integral operators, then we apply Krasnoselskiiās ļ¬xed point theorem to ...
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Initial value problem for fractional evolution equations
... This article is concerned with the existence of mild solutions to the initial value problem for a class of semilinear evolution equations with fractional order. New existence theorems are obtained by means ...
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Nonlinear biharmonic boundary value problem
... Keywords: biharmonic boundary value problem; polynomial growth; variational method; generalized mountain pass geometry; critical point theory; ( PS ) condition.. 1 Introduction.[r] ...
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A boundary value problem for the wave equation
... is considered. It is shown there that, in a characteristic cone, it is possible to construct symmetric Green functions which will convert the operator L of (5.1) to a selfadjoint integral operator. However, the boundary ...
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